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Simplifying 21z + -1(15z + -10) = 0 Reorder the terms: 21z + -1(-10 + 15z) = 0 21z + (-10 * -1 + 15z * -1) = 0 21z + (10 + -15z) = 0 Reorder the terms: 10 + 21z + -15z = 0 Combine like terms: 21z + -15z = 6z 10 + 6z = 0 Solving 10 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 6z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6z = 0 + -10 6z = 0 + -10 Combine like terms: 0 + -10 = -10 6z = -10 Divide each side by '6'. z = -1.666666667 Simplifying z = -1.666666667
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